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Finding the Fourth Proportional to 362,291.85, 543,437.78 and 228,739.05

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Solution

The fourth proportional to 362,291.85, 543,437.78 and 228,739.05 is: 343,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,291.85 : 543,437.78 = 228,739.05 : x
  2. Step 2: Convert to fraction form
    362,291.85/543,437.78 = 228,739.05/x
  3. Step 3: Cross multiply
    362,291.85x = 543,437.78 × 228,739.05
  4. Step 4: Simplify right side
    362,291.85x = 124,305,440,387.61
  5. Step 5: Solve for x
    x = 124,305,440,387.61/362,291.85
  6. Step 6: Final answer
    x = 343,108.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.